This paper implements the enhanced Kudryashov approach to retrieve highly dispersive optical solitons and study it with four nonlinear forms. These are power law, generalized quadratic-cubic triple-power non-local law. reveals bright singular along respective parameter constraints.

In this work, we find analytical solutions to the Chavy-Waddy–Kolokolnikov equation, a continuum approximation for modeling aggregate formation in bacteria moving toward light, also known as phototaxis. We used three methods obtain solutions, generalized Kudryashov method, e−R(ξ)-expansion, and exponential function methods, all of them being very efficient finding traveling wave-like solutions....

A mixture of liquid and gas bubbles of the same size may be considered as an example of a classic nonlinear medium. In practice, analysis of propagation of the pressure waves in a liquid with gas bubbles is important problem. We know that there are solitary and periodic waves in a mixture of a liquid and gas bubbles and these waves can be described by nonlinear partial differential equations. A...

In this scientific research article, the new Kudryashov method and tanh-coth method, which have not been applied before, are employed to construct analytical soliton solutions of (2+1)-dimensional Hirota–Maccari system. The system is a special kind nonlinear Schrödinger equation (NLSEs) that models motion isolated waves localized in small part space, used such various fields as fiber optics tel...

The current paper recovers cubic–quartic optical solitons in fiber Bragg gratings having polynomial law of nonlinear refractive index structures. Lie symmetry analysis is carried out, starting with the basic analysis. Then, it followed through improved Kudryashov and generalized Arnous schemes. parameter constraints are also identified for existence such solitons. Numerical surface plots suppor...

In this article, the aim was to obtain kink soliton solutions of (2+1)-dimensional integro-differential Jaulent–Miodek equation (IDJME), which is a prominent model related energy-dependent Schrödinger potential and used in fluid dynamics, condensed matter physics, optics many engineering systems. The IDJME created depending on parameters with constant coefficients, two efficient methods, genera...